 In this video we provide the solution to question number five for practice exam number three for math 1030 We're given the following weighted voting system We have a quota of five and we have four players whose weights are three two one and one and we're given the winning coalition Player one player three player four and we're supposed and we're supposed to determine in this winning coalition Which of the players are critical now remember a critical player is a player Which if removed from the coalition switches it from a winning coalition to a losing coalition? So let's look at the vote count for this set here So player one has three votes player three has one vote and so does player four which gives you a total of five five Is the quota if we lose even one vote? This coalition will become losing and since players one three and four each have at least one vote to their name If we lose any one of them, it'll be a losing coalition This tells us that all three players are in fact critical players So the correct answer is G player one three and four are all critical players